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Q.

A prism of glass (μ =1.5) is dipped in to water as shown in the figure. If the refractive index of water is 4/3, then the incident ray will be totally reflected on the surface AC. if 

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a

sinθ<89

b

sinθ=89

c

sinθ>89

d

sinθ=98

answer is A.

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Detailed Solution

The angle of incidence  at AC will be θ

To undergo total internal reflection the angle θ must be greater than the critical angle between glass and water.

 sinθ>sinθc=μωμg=8/9

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